Yes, the title is spelled correctly. No, this is not about identifying palm trees or any of the various other flora found on beaches, but rather a very common and very useful tree. It makes an excellent firewood, can be used for furniture, and even has an edible fruit.
I learned how to find several types of trees, Beech included, while at Natchez Trace State Park in Tennessee. Most rangers should be willing to teach you more about finding specific trees, and field guides can be handy to. These steps do no need to be followed in order, but this should come in handy if you are camping, or even if you just want to appear knowledgeable to actually outdoor enthusiasts. Enjoy!

Step 1: Look for Beech Nuts

Beech nuts are the fruit of the Beech tree, and tend to be small, making them difficult to find. They are slightly triangular in appearance, and usually have what appears to be small hairs coming from their husks.

Step 2: Look for Leaves

One of the easiest ways to identify a tree is by its leaves. In shape, they should appear similar to the attached picture, but keep in mind that the color will change with the seasons. Green in spring and summer, and shades of yellow during the colder months.

Step 3: Notice the Bark

Beeches have a somewhat smooth, gray bark that is usually very easy to pick out from other trees. It should feel smooth, albeit a bit gritty, to the touch.